Finite Group Databasebeta

← #33967986

Subgroups — #33967986

Order 18688.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623535C211yesmaximal, characteristic, complemented
2#22623493C211yesmaximal, characteristic, complemented
3#22622993C211yesmaximal, characteristic, complemented
4#22622887C211yesmaximal, characteristic, complemented
5#22622754C211yesmaximal, characteristic, complemented
6#22622680C211yesmaximal, characteristic, complemented
7#22622432C211yesmaximal, characteristic, complemented
8#22622387C211yesmaximal, characteristic, complemented
9#22622315C211yesmaximal, characteristic, complemented
10#22622088C211yesmaximal, characteristic, complemented
11#22622013C211yesmaximal, characteristic, complemented
12#22621953C211yesmaximal, characteristic, complemented
13#22621908C211yesmaximal, characteristic, complemented
14#22621786C211yesmaximal, characteristic, complemented
15#22621771C211yesmaximal, characteristic, complemented
16#22621617C211yesmaximal, characteristic, complemented
17#22621450C211yesmaximal, characteristic, complemented
18#22621405C211yesmaximal, characteristic, complemented
19#22620660C211yesmaximal, characteristic, complemented
20#22620636C211yesmaximal, characteristic, complemented
21#22620625C211yesmaximal, characteristic, complemented
22#22620078C211yesmaximal, characteristic, complemented
23#22620069C211yesmaximal, characteristic, complemented
24#22620067C211yesmaximal, characteristic, complemented
25#22620044C211yesmaximal, characteristic, complemented
26#22620040C211yesmaximal, characteristic, complemented
27#22620028C211yesmaximal, characteristic, complemented
28#22618946C211yesmaximal, characteristic, complemented
29#22618728C211yesmaximal, characteristic, complemented
30#442×D73C211yesmaximal, characteristic, complemented
31C4×AGL(1,ℤ/8)×C73C211yesmaximal, characteristic, complemented
32C2×#14556610C2211yescharacteristic
33C2×D8×D73C2211yescharacteristic
34#17989320C2211yescharacteristic, complemented
35#17989309C2211yescharacteristic, complemented
36#17989300C2211yescharacteristic, complemented
37#17989296C2211yescharacteristic, complemented
38#17989296C2211yescharacteristic, complemented
39#17989292C2211yescharacteristic
40#17989287C2211yescharacteristic
41#17989286—21no—
42#17989286—21no—
43#17989285C2211yescharacteristic, complemented
44#17989278C2211yescharacteristic, complemented
45#17989276C2211yescharacteristic
46#17989270—21no—
47#17989266—21no—
48#17989266—21no—
49#17989263—21no—
50#17989261—21no—
51#17989236C2211yescharacteristic, complemented
52#17989232C2211yescharacteristic
53#17989232C2211yescharacteristic, complemented
54#17989231C2211yescharacteristic, complemented
55#17989227—21no—
56#17989225C2211yescharacteristic
57D4×C22⋊D73C2211yescharacteristic
58#17989141C2211yescharacteristic, complemented
59#17989134C2211yescharacteristic, complemented
60#17989124C2211yescharacteristic, complemented
61#17989121—21no—
62#17989121C2211yescharacteristic, complemented
63#17989121C2211yescharacteristic, complemented
64#17989119C2211yescharacteristic
65#17989117—21no—
66#17989117—21no—
67#17989098—21no—
68#17989096—21no—
69#17989096—21no—
70C4×#11924028C2211yescharacteristic
71C4×#11924027C2211yescharacteristic, complemented
72C4×#11924027C2211yescharacteristic, complemented
73C2×C4×C22⋊D73—21no—
74C4×D4×D73C2211yescharacteristic
75C4×D4×D73C2211yescharacteristic, complemented
76C2×#14556548—21no—
77#17988995C2211yescharacteristic, complemented
78#17988995C2211yescharacteristic, complemented
79#17988989C2211yescharacteristic, complemented
80#17988978C2211yescharacteristic, complemented
81#17988973C2211yescharacteristic
82#17988971C2211yescharacteristic, complemented
83#17988954C2211yescharacteristic, complemented
84#17988950C2211yescharacteristic, complemented
85#17988948C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988942C2211yescharacteristic, complemented
88#17988942C2211yescharacteristic, complemented
89#17988928C2211yescharacteristic, complemented
90#17988927C2211yescharacteristic, complemented
91#17988924C2211yescharacteristic, complemented
92#17988921C2211yescharacteristic, complemented
93#17988919C2211yescharacteristic, complemented
94#17988917C2211yescharacteristic, complemented
95#17988914C2211yescharacteristic, complemented
96#17988913C2211yescharacteristic, complemented
97#17988911C2211yescharacteristic, complemented
98#17988909C2211yescharacteristic, complemented
99#17988900C2211yescharacteristic, complemented
100#17988899C2211yescharacteristic
101#17988894C2211yescharacteristic, complemented
102#17988893C2211yescharacteristic, complemented
103#17988887C2211yescharacteristic, complemented
104#17988887C2211yescharacteristic, complemented
105#17988887C2211yescharacteristic, complemented
106#17988886C2211yescharacteristic, complemented
107#17988885C2211yescharacteristic, complemented
108#17988885C2211yescharacteristic, complemented
109#17988871C2211yescharacteristic, complemented
110#17988866C2211yescharacteristic, complemented
111#17988865C2211yescharacteristic, complemented
112#17988865C2211yescharacteristic, complemented
113#17988845C2211yescharacteristic, complemented
114#17988840C2211yescharacteristic
115#17988833C2211yescharacteristic, complemented
116#17988833C2211yescharacteristic, complemented
117#17988829C2211yescharacteristic, complemented
118#17988827C2211yescharacteristic, complemented
119#17988824C2211yescharacteristic, complemented
120#17988822C2211yescharacteristic, complemented
121#17988819C2211yescharacteristic, complemented
122#17988815C2211yescharacteristic
123#17988813C2211yescharacteristic
124#17988813C2211yescharacteristic, complemented
125#17988812C2211yescharacteristic, complemented
126#17988809C2211yescharacteristic, complemented
127#17988804C2211yescharacteristic
128#17988802C2211yescharacteristic
129#17988802C2211yescharacteristic, complemented
130#17988802C2211yescharacteristic, complemented
131#17988801C2211yescharacteristic, complemented
132#17988800C2211yescharacteristic, complemented
133#17988791C2211yescharacteristic, complemented
134#17988790C2211yescharacteristic, complemented
135#17988786C2211yescharacteristic, complemented
136#17988780C2211yescharacteristic
137#17988749C2211yescharacteristic, complemented
138#17988746C2211yescharacteristic, complemented
139#17988739C2211yescharacteristic
140#17988739C2211yescharacteristic, complemented
141#17988738C2211yescharacteristic, complemented
142#17988736C2211yescharacteristic
143#17988733C2211yescharacteristic
144#17988733C2211yescharacteristic, complemented
145#17988732C2211yescharacteristic
146#17988729C2211yescharacteristic, complemented
147#17988721C2211yescharacteristic
148#17988719C2211yescharacteristic
149#17988717C2211yescharacteristic, complemented
150#17988717C2211yescharacteristic, complemented
151#17988700C2211yescharacteristic, complemented
152#17988699C2211yescharacteristic
153#17988699C2211yescharacteristic
154#17988698C2211yescharacteristic, complemented
155#17988697C2211yescharacteristic
156#17988697C2211yescharacteristic, complemented
157#17988697C2211yescharacteristic, complemented
158#17988696C2211yescharacteristic
159#17988696C2211yescharacteristic, complemented
160#17988695C2211yescharacteristic, complemented
161#17988693C2211yescharacteristic, complemented
162#17988692C2211yescharacteristic, complemented
163#17988689C2211yescharacteristic, complemented
164#17988689C2211yescharacteristic, complemented
165#17988687C2211yescharacteristic, complemented
166#17988687C2211yescharacteristic, complemented
167#17988687C2211yescharacteristic, complemented
168#17988685C2211yescharacteristic, complemented
169#17988684C2211yescharacteristic, complemented
170#17988684C2211yescharacteristic, complemented
171#17988656C2211yescharacteristic
172#17988656C2211yescharacteristic
173#17988656C2211yescharacteristic, complemented
174#17988656C2211yescharacteristic, complemented
175C8×D292C2211yescharacteristic, complemented
176C8×D292C2211yescharacteristic, complemented
177#17988644C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic, complemented
179#17988642C2211yescharacteristic, complemented
180#17988622C2211yescharacteristic, complemented
181#106×D73C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic, complemented
183#17988580C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic
185#102×D73C2211yescharacteristic, complemented
186#97×D73C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189C4×#41×C73C2211yescharacteristic, complemented
190C2×C4×D4×C73C2211yescharacteristic, complemented
191#442×C73C2211yescharacteristic
192#442×C73C2211yescharacteristic, complemented
193#440×C73C2211yescharacteristic, complemented
194#440×C73C2211yescharacteristic, complemented
195C4×SD16×C73C2211yescharacteristic, complemented
196C4×SD16×C73C2211yescharacteristic, complemented
197C4×D8×C73C2211yescharacteristic
198C4×D8×C73C2211yescharacteristic, complemented
199#428×C73C2211yescharacteristic, complemented
200#418×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic, complemented
202C4×M16×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028D411yescharacteristic
205C2×#11924027C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C22×C22⋊D73—21no—
208C2×D4×D73C2311yescharacteristic
209C2×D4×D73C2311yescharacteristic
210C22×C4×D73—21no—
211C22×C4×D73—21no—
212#14556610—24no—
213C2×Dic292C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924017C2311yescharacteristic
216C2×#11924017C2311yescharacteristic
217C2×#11924016C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×D584C2311yescharacteristic
222C2×#11924013C2311yescharacteristic
223C2×#11924013C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225D8×D73—24no—
226C2×C8×D73C2311yescharacteristic
227C2×C8×D73C2311yescharacteristic
228C2×C8×D73C2311yescharacteristic
229C2×C8×D73C2311yescharacteristic
230#14556590C2311yescharacteristic
231#14556590C2311yescharacteristic
232#14556589C2311yescharacteristic
233#14556587C2311yescharacteristic
234#14556586—21no—
235#14556586—21no—
236#14556586—21no—
237#14556585—21no—
238#14556585—21no—
239#14556585—21no—
240#14556585—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556583—21no—
245#14556583C2311yescharacteristic
246#14556583C2311yescharacteristic
247#14556582C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556580C2311yescharacteristic
253#14556579—21no—
254#14556579C2311yescharacteristic
255#14556579C2311yescharacteristic
256#14556578C2311yescharacteristic
257#14556577—21no—
258#14556577—21no—
259#14556577—21no—
260#14556576—21no—
261#14556576—21no—
262#14556576—21no—
263#14556575—21no—
264#14556575—21no—
265#14556574—21no—
266#14556574—21no—
267#14556574—21no—
268#14556574—21no—
269#14556574—21no—
270#14556574—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573—21no—
274#14556572—21no—
275#14556572—21no—
276#14556571C2311yescharacteristic
277#14556571C2311yescharacteristic
278#14556570—21no—
279#14556570—21no—
280#14556570—21no—
281#14556570C2311yescharacteristic
282#14556570C2311yescharacteristic
283#14556569—21no—
284#14556569—21no—
285#14556569—21no—
286#14556568—21no—
287#14556568—21no—
288#14556568—21no—
289#14556568—21no—
290#14556567C2311yescharacteristic
291#14556567C2311yescharacteristic
292#14556566C2311yescharacteristic
293#14556566C2311yescharacteristic
294#14556565—21no—
295#14556565—21no—
296#14556565—21no—
297#14556565C2311yescharacteristic
298#14556565C2311yescharacteristic
299#14556564—21no—
300#14556564—21no—
301#14556564—21no—
302#14556563—21no—
303#14556563—21no—
304#14556563—21no—
305#14556563—21no—
306#14556562C2311yescharacteristic
307#14556562C2311yescharacteristic
308#14556561—21no—
309#14556561—21no—
310#14556560—21no—
311#14556560—21no—
312#14556559—21no—
313#14556559—21no—
314C4×Dic146—21no—
315C4×Dic146D411yescharacteristic
316C4×Dic146C2311yescharacteristic
317C4×Dic146C2311yescharacteristic
318C4×Dic146C2311yescharacteristic
319#14556556C2311yescharacteristic
320#14556556C2311yescharacteristic
321C4×D292—21no—
322C4×D292D411yescharacteristic
323C4×D292C2311yescharacteristic
324C4×D292C2311yescharacteristic
325C4×D292C2311yescharacteristic
326D4×Dic73C2311yescharacteristic
327D4×Dic73C2311yescharacteristic
328D4×Dic73C2311yescharacteristic
329D4×Dic73C2311yescharacteristic
330#14556553C2311yescharacteristic
331#14556553C2311yescharacteristic
332C4×C22⋊D73—21no—
333C4×C22⋊D73—21no—
334C4×C22⋊D73—21no—
335C4×C22⋊D73—21no—
336C4×C22⋊D73—21no—
337C4×C22⋊D73—21no—
338C4×C22⋊D73—21no—
339C4×C22⋊D73—21no—
340C4×C22⋊D73—21no—
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73D411yescharacteristic
345C4×C22⋊D73D411yescharacteristic
346C4×C22⋊D73C2311yescharacteristic
347C4×C22⋊D73C2311yescharacteristic
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556550—21no—
353#14556550D411yescharacteristic
354#14556549C2311yescharacteristic
355#14556549C2311yescharacteristic
356#14556548—21no—
357#14556548—21no—
358#14556548—21no—
359#14556548—21no—
360#14556548—21no—
361#14556548—21no—
362#14556548—21no—
363#14556548—21no—
364#14556548D411yescharacteristic
365#14556548D411yescharacteristic
366#14556547—21no—
367#14556547—21no—
368C2×#11924007—21no—
369C2×#11924007—21no—
370C2×#11924007—21no—
371C4⋊C4×D73C2311yescharacteristic
372C4⋊C4×D73C2311yescharacteristic
373C2×C22⋊Dic73—21no—
374C2×#11924005—21no—
375C2×#11924005—21no—
376C2×#11924005—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C2×C4×Dic73—21no—
380C2×C4×Dic73—21no—
381C42×D73C2311yescharacteristic
382C42×D73C2311yescharacteristic
383#14556525C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C2×#41×C73C2311yescharacteristic
438C22×D4×C73C2311yescharacteristic
439C23×C4×C73—21no—
440AGL(1,ℤ/8)×C73—24no—
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445C2×M16×C73C2311yescharacteristic
446C2×M16×C73C2311yescharacteristic
447C4×Q8×C73C2311yescharacteristic
448C4×Q8×C73C2311yescharacteristic
449C4×D4×C73—21no—
450C4×D4×C73—21no—
451C4×D4×C73—21no—
452C4×D4×C73—21no—
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459#117×C73—21no—
460#117×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462C2×C22⋊C4×C73—21no—
463C2×C42×C73—21no—
464C2×C42×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479C4×C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924028—42no—
484#11924028—82no—
485#11924027—22no—
486#11924027—22no—
487#11924027—41no—
488#11924027—41no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146C2×D411yescharacteristic
492C2×Dic146C2411yescharacteristic
493C2×Dic146C2411yescharacteristic
494C2×D292—21no—
495C2×D292—21no—
496C2×D292C2×D411yescharacteristic
497C2×D292C2411yescharacteristic
498C2×D292C2411yescharacteristic
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—44no—
510C2×C22⋊D73C2×D411yescharacteristic
511C2×C22⋊D73C2×D411yescharacteristic
512D4×D73—22no—
513D4×D73—22no—
514D4×D73—41no—
515D4×D73—41no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—44no—
529C2×C4×D73—82no—
530C2×C4×D73C2×D411yescharacteristic
531C2×C4×D73C2×D411yescharacteristic
532C2×C4×D73C2×D411yescharacteristic
533C2×C4×D73C2×D411yescharacteristic
534C2×C4×D73C2411yescharacteristic
535C2×C4×D73C2411yescharacteristic
536Dic292—22no—
537#11924018—41no—
538#11924017—41no—
539#11924017—41no—
540#11924016—22no—
541#11924016—22no—
542#11924016—41no—
543#11924015—41no—
544D584—22no—
545#11924013—22no—
546#11924013—22no—
547#11924013—41no—
548C2×#10596831C2411yescharacteristic
549C2×#10596831C2411yescharacteristic
550C2×#10596831C2411yescharacteristic
551C2×#10596831C2411yescharacteristic
552C8×D73—22no—
553C8×D73—22no—
554C8×D73—41no—
555C8×D73—41no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73C2×D411yescharacteristic
561C4⋊Dic73C2×D411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
563C4⋊Dic73C2411yescharacteristic
564C4⋊Dic73C2411yescharacteristic
565C4⋊Dic73C2411yescharacteristic
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73C2×D411yescharacteristic
601C22⋊Dic73C2×D411yescharacteristic
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005C2×D411yescharacteristic
623#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73C2×D411yescharacteristic
633C4×Dic73C2×D411yescharacteristic
634C4×Dic73C2×D411yescharacteristic
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2411yescharacteristic
637C4×Dic73C2411yescharacteristic
638C24×C73—21no—
639#41×C73—22no—
640#41×C73—41no—
641C2×Q8×C73C2411yescharacteristic
642C2×D4×C73—22no—
643C2×D4×C73—21no—
644C2×D4×C73—21no—
645C2×D4×C73—41no—
646C2×D4×C73C2411yescharacteristic
647C2×D4×C73C2411yescharacteristic
648C2×D4×C73C2411yescharacteristic
649C22×C4×C73—21no—
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73—82no—
658C22×C4×C73C2×D411yescharacteristic
659C22×C4×C73C2×D411yescharacteristic
660C22×C4×C73C2411yescharacteristic
661SD16×C73—22no—
662SD16×C73—22no—
663D8×C73—22no—
664D8×C73#4114yescomplemented
665M16×C73—22no—
666M16×C73—41no—
667C2×C8×C73C2411yescharacteristic
668C2×C8×C73C2411yescharacteristic
669C2×C8×C73C2411yescharacteristic
670C2×C8×C73C2411yescharacteristic
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C42×C73—21no—
686C42×C73—21no—
687C42×C73—21no—
688C42×C73C2×D411yescharacteristic
689C42×C73C2×D411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73—42no—
696C23×C73—42no—
697C23×C73—81no—
698C23×C73C22×D411yescharacteristic
699C22×D73—21no—
700C22×D73—21no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—42no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73C22×D411yescharacteristic
708C22×D73C22×D411yescharacteristic
709Q8×C73—21no—
710Q8×C73—21no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—42no—
716D4×C73—42no—
717D4×C73C2×#4112yes—
718D4×C73C2×#4112yes—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—41no—
727C2×C4×C73—41no—
728C2×C4×C73—42no—
729C2×C4×C73—42no—
730C2×C4×C73—42no—
731C2×C4×C73—42no—
732C2×C4×C73—81no—
733C2×C4×C73—81no—
734C2×C4×C73—81no—
735C2×C4×C73—81no—
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C22×D411yescharacteristic
741C2×C4×C73C2511yescharacteristic
742C22⋊D73—22no—
743C22⋊D73—41no—
744C22⋊D73—42no—
745C22⋊D73—42no—
746C22⋊D73—42no—
747C22⋊D73—42no—
748C22⋊D73—42no—
749C22⋊D73—42no—
750C22⋊D73—42no—
751C22⋊D73—81no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—42no—
761C2×Dic73—42no—
762C2×Dic73—42no—
763C2×Dic73—42no—
764C2×Dic73—81no—
765C2×Dic73—81no—
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772D292—22no—
773D292—21no—
774D292—21no—
775D292—21no—
776D292—21no—
777D292—81no—
778D292—81no—
779C4×D73—22no—
780C4×D73—21no—
781C4×D73—21no—
782C4×D73—21no—
783C4×D73—21no—
784C4×D73—41no—
785C4×D73—41no—
786C4×D73—41no—
787C4×D73—42no—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—42no—
791C4×D73—81no—
792C4×D73—81no—
793Dic146—21no—
794Dic146—21no—
795Dic146—21no—
796Dic146—21no—
797Dic146—41no—
798Dic146—81no—
799Dic146—81no—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73C2×#4112yes—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831—21no—
808C22×C73—21no—
809C22×C73—22no—
810C22×C73—22no—
811C22×C73—21no—
812C22×C73—21no—
813C22×C73—41no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—84no—
821C22×C73C23×D411yescharacteristic
822C2×D73—21no—
823C2×D73—21no—
824C2×D73—21no—
825C2×D73—21no—
826C2×D73—21no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—84no—
834C2×D73—84no—
835C2×D73#57512yes—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—21no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73—41no—
846C4×C73C22×#4111yescharacteristic
847C4×C73#58511yescharacteristic
848Dic73—21no—
849Dic73—21no—
850Dic73—21no—
851Dic73—21no—
852Dic73—21no—
853Dic73—21no—
854Dic73—41no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859Dic73—41no—
860#61454—731nomaximal, Sylow
861C2×C73—42no—
862C2×C73—42no—
863C2×C73—41no—
864C2×C73—81no—
865C2×C73D4×#4111yescharacteristic
866C2×C73C2×#57511yescharacteristic
867C2×C73#358511yescharacteristic
868D73—22no—
869D73—41no—
870D73—81no—
871D73—81no—
872#3481—731no—
873#3475—731no—
874#3401—731no—
875#3389—731no—
876#3376—731no—
877#3370—731no—
878#3347—731no—
879#3344—731no—
880#3337—731no—
881#3319—731no—
882#3314—731no—
883#3310—731no—
884#3307—731no—
885#3297—731no—
886#3296—731no—
887#3280—731no—
888#3267—731no—
889#3264—731no—
890#3183—731no—
891#3181—731no—
892#3180—731no—
893#3115—731no—
894#3114—731no—
895#3114—731no—
896#3111—731no—
897#3111—731no—
898#3110—731no—
899#2970—731no—
900C4×AGL(1,ℤ/8)D7311yescharacteristic, complemented
901#2943—731no—
902C2×#442—731no—
903C73#6145411yescharacteristic, complemented, Sylow
904C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
905C2×#135—731no—
906C22×D8—731no—
907#559—731no—
908#556—731no—
909#555—731no—
910#554—731no—
911#554—731no—
912#554—731no—
913#553—731no—
914#553—731no—
915#553—1461no—
916#553—1461no—
917#552—731no—
918#552—731no—
919#552—1461no—
920#551—1461no—
921#551—1461no—
922#551—1461no—
923#551—1461no—
924#547—731no—
925#546—731no—
926#546—731no—
927#546—731no—
928#546—731no—
929#546—1461no—
930D42—731no—
931#533—731no—
932#532—731no—
933#529—731no—
934#529—731no—
935#529—731no—
936#529—731no—
937#529—1461no—
938#529—1461no—
939#529—1461no—
940#525—1461no—
941#525—1461no—
942#525—1461no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—731no—
946C4×#41C2×D7311yescharacteristic, complemented
947C2×C4×D4—731no—
948C2×C4×D4—731no—
949C2×C4×D4—1461no—
950C2×C4×D4C2×D7311yescharacteristic, complemented
951C2×#117—1461no—
952#501—731no—
953#501—731no—
954#499—731no—
955#497—731no—
956#496—731no—
957#495—731no—
958#491—731no—
959#490—731no—
960#489—731no—
961#489—731no—
962#488—731no—
963#488—731no—
964#485—731no—
965#485—731no—
966#484—731no—
967#484—731no—
968#483—731no—
969#483—731no—
970#482—731no—
971#482—731no—
972#482—731no—
973#482—731no—
974#480—731no—
975#480—731no—
976#479—731no—
977#479—731no—
978#478—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#478—731no—
984#475—731no—
985#474—731no—
986#474—731no—
987#474—731no—
988#470—731no—
989#469—731no—
990#468—731no—
991#468—731no—
992#467—731no—
993#467—731no—
994#466—731no—
995#466—731no—
996#465—731no—
997#465—731no—
998#465—731no—
999#465—731no—
1000#464—731no—
1001#464—731no—
1002#463—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#463—731no—
1008#461—731no—
1009#461—731no—
1010#460—731no—
1011#459—731no—
1012#452—731no—
1013#452—731no—
1014#450—731no—
1015#450—731no—
1016#450—731no—
1017#450—731no—
1018#449—731no—
1019#449—731no—
1020#449—731no—
1021#449—731no—
1022#447—731no—
1023#447—731no—
1024#446—731no—
1025#446—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442—731no—
1032#442—731no—
1033#442—731no—
1034#442—731no—
1035#442C2×D7311yescharacteristic
1036#442C2×D7311yescharacteristic, complemented
1037#441—731no—
1038#441—731no—
1039#441—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440C2×D7311yescharacteristic, complemented
1049#440C2×D7311yescharacteristic, complemented
1050C4×SD16C2×D7311yescharacteristic, complemented
1051C4×SD16C2×D7311yescharacteristic, complemented
1052C4×D8C2×D7311yescharacteristic
1053C4×D8C2×D7311yescharacteristic, complemented
1054#435—731no—
1055#435—731no—
1056#435—731no—
1057#435—731no—
1058C8×D4—731no—
1059C8×D4—731no—
1060#432—731no—
1061#432—731no—
1062#432—731no—
1063#428C2×D7311yescharacteristic, complemented
1064#427—731no—
1065C2×#106—731no—
1066#418C2×D7311yescharacteristic, complemented
1067#417C2×D7311yescharacteristic, complemented
1068#416—731no—
1069#416—731no—
1070C2×#102—731no—
1071C2×#102—731no—
1072C4×M16C2×D7311yescharacteristic, complemented
1073C2×#97—731no—
1074C2×#97—731no—
1075C2×#41—731no—
1076C2×#41—731no—
1077C2×#41—731no—
1078C2×#41—1461no—
1079C2×#41C22×D7311yescharacteristic
1080C22×D4—731no—
1081C22×D4—731no—
1082C22×D4—1461no—
1083C22×D4C22×D7311yescharacteristic
1084C23×C4—21no—
1085C23×C4—1461no—
1086C23×C4—1461no—
1087AGL(1,ℤ/8)—24no—
1088#135—1464no—
1089C2×Q16—731no—
1090C2×Q16—731no—
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—731no—
1097C2×SD16C22×D7311yescharacteristic
1098C2×SD16C22×D7311yescharacteristic
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8—1464no—
1104C2×D8C22×D7311yescharacteristic
1105C2×D8C22×D7311yescharacteristic
1106C2×M16C22×D7311yescharacteristic
1107C2×M16C22×D7311yescharacteristic
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8—731no—
1111C22×C8—731no—
1112C4⋊Q8—731no—
1113C4⋊Q8—731no—
1114C4⋊Q8—731no—
1115#127—731no—
1116#126—1461no—
1117#126—1461no—
1118#126—1461no—
1119#126—1461no—
1120#126—1461no—
1121#126—1461no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#125—731no—
1127#125—731no—
1128#125—731no—
1129#125—731no—
1130#125—1461no—
1131#125—1461no—
1132#125—1461no—
1133#125—1461no—
1134#124—731no—
1135#124—731no—
1136#124—731no—
1137#124—731no—
1138#124—1461no—
1139#124—1461no—
1140#124—1461no—
1141#124—1461no—
1142#123—1461no—
1143#123—1461no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158C22⋊Q8—731no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—731no—
1163C22⋊Q8—731no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8—1461no—
1171C22⋊Q8—1461no—
1172C22⋊Q8—1461no—
1173C22⋊Q8—1461no—
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
1179#121—731no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121—1461no—
1189#121—1461no—
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195#120—1461no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—1461no—
1203C4×Q8C22×D7311yescharacteristic
1204C4×Q8C22×D7311yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4C22×D7311yescharacteristic
1241C4×D4C22×D7311yescharacteristic
1242C4×D4C22×D7311yescharacteristic
1243C4×D4C22×D7311yescharacteristic
1244C4×D4C22×D7311yescharacteristic
1245C4×D4C22×D7311yescharacteristic
1246#117—21no—
1247#117—731no—
1248#117—731no—
1249#117—731no—
1250#117—731no—
1251#117—731no—
1252#117—1461no—
1253#117—1461no—
1254#117—1461no—
1255#117—1461no—
1256#117—1461no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117C22×D7311yescharacteristic
1264C2×C4⋊C4—731no—
1265C2×C4⋊C4—731no—
1266C2×C4⋊C4—1461no—
1267C2×C4⋊C4—1461no—
1268C2×C4⋊C4—1461no—
1269C2×C4⋊C4C22×D7311yescharacteristic
1270C2×C22⋊C4—21no—
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C22⋊C4—1461no—
1276C2×C22⋊C4—1461no—
1277C2×C42—21no—
1278C2×C42—731no—
1279C2×C42—731no—
1280C2×C42—1461no—
1281C2×C42—1461no—
1282C2×C42C22×D7311yescharacteristic
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107—731no—
1289#107C22×D7311yescharacteristic
1290#107C22×D7311yescharacteristic
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106—731no—
1296#106—731no—
1297#106C22×D7311yescharacteristic
1298#106C22×D7311yescharacteristic
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8—731no—
1303C4⋊C8—731no—
1304C4⋊C8—731no—
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103—731no—
1312#103—731no—
1313#103—731no—
1314#103—731no—
1315#103C22×D7311yescharacteristic
1316#103C22×D7311yescharacteristic
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102C22×D7311yescharacteristic
1332#102C22×D7311yescharacteristic
1333#102C22×D7311yescharacteristic
1334#102C22×D7311yescharacteristic
1335#102C22×D7311yescharacteristic
1336#102C22×D7311yescharacteristic
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8—731no—
1341C22⋊C8—731no—
1342C22⋊C8—731no—
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347#97—731no—
1348#97—731no—
1349#97C22×D7311yescharacteristic
1350#97C22×D7311yescharacteristic
1351C4×C8C22×D7311yescharacteristic
1352C4×C8C22×D7311yescharacteristic
1353C24—21no—
1354C24—1461no—
1355C24—1461no—
1356#41—22no—
1357#41—41no—
1358#41—2922no—
1359#41—2921no—
1360#41—2921no—
1361#41—5842no—
1362#41—1462no—
1363#41—1462no—
1364C2×Q8—731no—
1365C2×Q8—731no—
1366C2×Q8—731no—
1367C2×Q8—1461no—
1368C2×Q8—1461no—
1369C2×Q8C23×D7311yescharacteristic
1370C2×D4—22no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—41no—
1374C2×D4—2924no—
1375C2×D4—2921no—
1376C2×D4—2921no—
1377C2×D4—731no—
1378C2×D4—731no—
1379C2×D4—731no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—1461no—
1383C2×D4—1461no—
1384C2×D4—1461no—
1385C2×D4—1461no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1462no—
1393C2×D4—1462no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4C23×D7311yescharacteristic
1397C2×D4C23×D7311yescharacteristic
1398C2×D4C23×D7311yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—82no—
1408C22×C4—2924no—
1409C22×C4—5842no—
1410C22×C4—731no—
1411C22×C4—731no—
1412C22×C4—731no—
1413C22×C4—731no—
1414C22×C4—731no—
1415C22×C4—731no—
1416C22×C4—1461no—
1417C22×C4—1461no—
1418C22×C4—1461no—
1419C22×C4—1461no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4D4×D7311yescharacteristic
1429C22×C4D4×D7311yescharacteristic
1430C22×C4C23×D7311yescharacteristic
1431Q16—2921no—
1432Q16—1462no—
1433SD16—22no—
1434SD16—22no—
1435SD16—2921no—
1436SD16—2921no—
1437SD16—2921no—
1438SD16—2921no—
1439SD16—1462no—
1440SD16—1462no—
1441D8—22no—
1442D8—2921no—
1443D8—1462no—
1444D8—1462no—
1445D8—1462no—
1446D8#1192402814yescomplemented
1447M16—22no—
1448M16—41no—
1449C2×C8—2921no—
1450C2×C8—2921no—
1451C2×C8—731no—
1452C2×C8—731no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—1462no—
1456C2×C8—1462no—
1457C2×C8C23×D7311yescharacteristic
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—731no—
1465C4⋊C4—731no—
1466C4⋊C4—731no—
1467C4⋊C4—731no—
1468C4⋊C4—731no—
1469C4⋊C4—731no—
1470C4⋊C4—731no—
1471C4⋊C4—731no—
1472C4⋊C4—731no—
1473C4⋊C4—731no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C4⋊C4C23×D7311yescharacteristic
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—731no—
1510C22⋊C4—731no—
1511C22⋊C4—731no—
1512C22⋊C4—731no—
1513C22⋊C4—731no—
1514C22⋊C4—731no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—731no—
1549C42—731no—
1550C42—731no—
1551C42—731no—
1552C42—731no—
1553C42—731no—
1554C42—1461no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42D4×D7311yescharacteristic
1561C42D4×D7311yescharacteristic
1562C42C23×D7311yescharacteristic
1563C42C23×D7311yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—42no—
1568C23—42no—
1569C23—81no—
1570C23—2922no—
1571C23—2922no—
1572C23—2922no—
1573C23—2922no—
1574C23—5841no—
1575C23—5841no—
1576C23—731no—
1577C23—731no—
1578C23—1461no—
1579C23—1461no—
1580C23C2×D4×D7311yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—2921no—
1584Q8—5841no—
1585Q8—5841no—
1586Q8—1461no—
1587Q8—1461no—
1588Q8—1461no—
1589Q8—1461no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—42no—
1595D4—42no—
1596D4—2922no—
1597D4—2922no—
1598D4—2922no—
1599D4—2922no—
1600D4—2922no—
1601D4—2922no—
1602D4—2921no—
1603D4—2922no—
1604D4—5841no—
1605D4—5841no—
1606D4—5841no—
1607D4—5841no—
1608D4—5841no—
1609D4—1462no—
1610D4—1462no—
1611D4—1461no—
1612D4—1461no—
1613D4—1461no—
1614D4—1461no—
1615D4C2×#1192402812yes—
1616D4C2×#1192402812yes—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—42no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—2922no—
1635C2×C4—2922no—
1636C2×C4—2921no—
1637C2×C4—2921no—
1638C2×C4—2921no—
1639C2×C4—2922no—
1640C2×C4—2922no—
1641C2×C4—2922no—
1642C2×C4—2922no—
1643C2×C4—2922no—
1644C2×C4—2922no—
1645C2×C4—5841no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—5841no—
1649C2×C4—731no—
1650C2×C4—731no—
1651C2×C4—731no—
1652C2×C4—731no—
1653C2×C4—731no—
1654C2×C4—731no—
1655C2×C4—1462no—
1656C2×C4—1461no—
1657C2×C4—1461no—
1658C2×C4—1461no—
1659C2×C4—1461no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4—1461no—
1665C2×C4—1461no—
1666C2×C4C2×D4×D7311yescharacteristic
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C2×D4×D7311yescharacteristic
1669C2×C4C2×D4×D7311yescharacteristic
1670C2×C4C2×D4×D7311yescharacteristic
1671C2×C4C24×D7311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—1461no—
1676C8—1461no—
1677C8—1461no—
1678C8—1461no—
1679C8C2×#1192402812yes—
1680C22—21no—
1681C22—21no—
1682C22—22no—
1683C22—22no—
1684C22—21no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—84no—
1693C22—2921no—
1694C22—2921no—
1695C22—2921no—
1696C22—2921no—
1697C22—2921no—
1698C22—2921no—
1699C22—5844no—
1700C22—5844no—
1701C22—732no—
1702C22—1461no—
1703C22—1461no—
1704C22—1461no—
1705C22—1461no—
1706C22—1461no—
1707C22C22×D4×D7311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—2921no—
1719C4—2921no—
1720C4—2921no—
1721C4—2921no—
1722C4—2921no—
1723C4—2921no—
1724C4—1461no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4—1461no—
1729C4—1461no—
1730C4C22×#1192402811yescharacteristic
1731C4#1798942311yescharacteristic
1732C2—41no—
1733C2—42no—
1734C2—42no—
1735C2—81no—
1736C2—2921no—
1737C2—5841no—
1738C2—5841no—
1739C2—1462no—
1740C2D4×#1192402811yescharacteristic
1741C2#575×D7311yescharacteristic
1742C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC4×AGL(1,ℤ/8)×C73C2
socleC22×C73C23×D4
hypercenterC4×AGL(1,ℤ/8)D73
hypocenterC73#61454
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ C4×AGL(1,ℤ/8)

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #22623535C2semidirect
2. #22623493C2semidirect
3. #22622993C2semidirect
4. #22622887C2semidirect
5. #22622754C2semidirect
6. #22622680C2semidirect
7. #22622432C2semidirect
8. #22622387C2semidirect
9. #22622315C2semidirect
10. #22622088C2semidirect
11. #22622013C2semidirect
12. #22621953C2semidirect
13. #22621908C2semidirect
14. #22621786C2semidirect
15. #22621771C2semidirect
16. #22621617C2semidirect
17. #22621450C2semidirect
18. #22621405C2semidirect
19. #22620660C2semidirect
20. #22620636C2semidirect
21. #22620625C2semidirect
22. #22620078C2semidirect
23. #22620069C2semidirect
24. #22620067C2semidirect
25. #22620044C2semidirect
26. #22620040C2semidirect
27. #22620028C2semidirect
28. #22618946C2semidirect
29. #22618728C2semidirect
30. #442×D73C2semidirect
31. C4×AGL(1,ℤ/8)×C73C2semidirect
34. #17989320C22semidirect
35. #17989309C22semidirect
36. #17989300C22semidirect
37. #17989296C22semidirect
38. #17989296C22semidirect
43. #17989285C22semidirect
44. #17989278C22semidirect
51. #17989236C22semidirect
53. #17989232C22semidirect
54. #17989231C22semidirect
58. #17989141C22semidirect
59. #17989134C22semidirect
60. #17989124C22semidirect
62. #17989121C22semidirect
63. #17989121C22semidirect
71. C4×#11924027C22semidirect
72. C4×#11924027C22semidirect
75. C4×D4×D73C22semidirect
77. #17988995C22semidirect
78. #17988995C22semidirect
79. #17988989C22semidirect
80. #17988978C22semidirect
82. #17988971C22semidirect
83. #17988954C22semidirect
84. #17988950C22semidirect
85. #17988948C22semidirect
86. #17988945C22semidirect
87. #17988942C22semidirect
88. #17988942C22semidirect
89. #17988928C22semidirect
90. #17988927C22semidirect
91. #17988924C22semidirect
92. #17988921C22semidirect
93. #17988919C22semidirect
94. #17988917C22semidirect
95. #17988914C22semidirect
96. #17988913C22semidirect
97. #17988911C22semidirect
98. #17988909C22semidirect
99. #17988900C22semidirect
101. #17988894C22semidirect
102. #17988893C22semidirect
103. #17988887C22semidirect
104. #17988887C22semidirect
105. #17988887C22semidirect
106. #17988886C22semidirect
107. #17988885C22semidirect
108. #17988885C22semidirect
109. #17988871C22semidirect
110. #17988866C22semidirect
111. #17988865C22semidirect
112. #17988865C22semidirect
113. #17988845C22semidirect
115. #17988833C22semidirect
116. #17988833C22semidirect
117. #17988829C22semidirect
118. #17988827C22semidirect
119. #17988824C22semidirect
120. #17988822C22semidirect
121. #17988819C22semidirect
124. #17988813C22semidirect
125. #17988812C22semidirect
126. #17988809C22semidirect
129. #17988802C22semidirect
130. #17988802C22semidirect
131. #17988801C22semidirect
132. #17988800C22semidirect
133. #17988791C22semidirect
134. #17988790C22semidirect
135. #17988786C22semidirect
137. #17988749C22semidirect
138. #17988746C22semidirect
140. #17988739C22semidirect
141. #17988738C22semidirect
144. #17988733C22semidirect
146. #17988729C22semidirect
149. #17988717C22semidirect
150. #17988717C22semidirect
151. #17988700C22semidirect
154. #17988698C22semidirect
156. #17988697C22semidirect
157. #17988697C22semidirect
159. #17988696C22semidirect
160. #17988695C22semidirect
161. #17988693C22semidirect
162. #17988692C22semidirect
163. #17988689C22semidirect
164. #17988689C22semidirect
165. #17988687C22semidirect
166. #17988687C22semidirect
167. #17988687C22semidirect
168. #17988685C22semidirect
169. #17988684C22semidirect
170. #17988684C22semidirect
173. #17988656C22semidirect
174. #17988656C22semidirect
175. C8×D292C22semidirect
176. C8×D292C22semidirect
177. #17988644C22semidirect
178. #17988642C22semidirect
179. #17988642C22semidirect
180. #17988622C22semidirect
181. #106×D73C22semidirect
182. #17988580C22semidirect
183. #17988580C22semidirect
185. #102×D73C22semidirect
186. #97×D73C22semidirect
187. #97×D73C22semidirect
189. C4×#41×C73C22semidirect
190. C2×C4×D4×C73C22semidirect
192. #442×C73C22semidirect
193. #440×C73C22semidirect
194. #440×C73C22semidirect
195. C4×SD16×C73C22semidirect
196. C4×SD16×C73C22semidirect
198. C4×D8×C73C22semidirect
199. #428×C73C22semidirect
200. #418×C73C22semidirect
201. #417×C73C22semidirect
202. C4×M16×C73C22semidirect
664. D8×C73#41semidirect
900. C4×AGL(1,ℤ/8)D73semidirect
903. C73#61454semidirect
946. C4×#41C2×D73semidirect
950. C2×C4×D4C2×D73semidirect
1036. #442C2×D73semidirect
1048. #440C2×D73semidirect
1049. #440C2×D73semidirect
1050. C4×SD16C2×D73semidirect
1051. C4×SD16C2×D73semidirect
1053. C4×D8C2×D73semidirect
1063. #428C2×D73semidirect
1066. #418C2×D73semidirect
1067. #417C2×D73semidirect
1072. C4×M16C2×D73semidirect
1446. D8#11924028semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#226235352
#226234932
#226229932
#226228872
#226227542
#226226802
#226224322
#226223872
#226223152
#226220882
#226220132
#226219532
#226219082
#226217862
#226217712
#226216172
#226214502
#226214052
#226206602
#226206362
#226206252
#226200782
#226200692
#226200672
#226200442
#226200402
#226200282
#226189462
#226187282
#442×D732
C4×AGL(1,ℤ/8)×C732
#6145473